CBSE Class 10 Mathematics Constructions VBQs read and download in pdf. Value Based Questions come in exams for Mathematics in Class 10 and are easy to learn and helpful in scoring good marks. You can refer to more chapter wise VBQs for Class 10 Mathematics and also get latest topic wise very useful study material as per latest NCERT book for Class 10 Mathematics and all other subjects for free on Studiestoday designed as per latest Class 10 CBSE, NCERT and KVS syllabus and examination pattern
VBQ for Class 10 Mathematics Chapter 11 Constructions
Class 10 Mathematics students should refer to the following value based questions with answers for Chapter 11 Constructions in Class 10. These VBQ questions with answers for Class 10 Mathematics will come in exams and help you to score good marks
Chapter 11 Constructions VBQ Questions Class 10 Mathematics with Answers
Multiple Choice Questions
Question. To divide a line segment AB in the ratio 5 : 7, first a ray AX is drawn such that ∠BAX is an acute angle and then at equal distances points are marked on the ray such that the minimum number of these points is
(a) 8
(b) 10
(c) 11
(d) 12
Answer : D
Question. To divide line segment AB in the ratio m : n, draw a ray AX so that ∠BAX is an acute angle and then mark points on ray AX at equal distance such that the minimum number of these points is
(a) m + n
(b) m – n
(c) m × n
(d) m ÷ n
Answer : A
Question. To divide a line segment AB in the ratio 5 : 6, we draw a ray such that ∠BAX is an acute angle, locate points A1, A2, A3, ... at equal distances on the ray AX and join point B to
(a) A12
(b) A11
(c) A10
(d) A9
Answer : B
Assertion-Reason Type Questions
In the following questions, a statement of assertion (A) is followed by a statement of reason (R). Mark the correct choice as:
(a) Both assertion (A) and reason (R) are true and reason (R) is the correct explanation of assertion (A).
(b) Both assertion (A) and reason (R) are true but reason (R) is not the correct explanation of assertion (A).
(c) Assertion (A) is true but reason (R) is false.
(d) Assertion (A) is false but reason (R) is true.
Question. Assertion (A): By geometrical construction, it is possible to divide a line segment in the ratio √3 : 1/√3.
Reason (R): To divide a line segment in the ratio p : q, p and q must be positive integers.
Answer : A
Question. Assertion (A): When a line segment is divided in the ratio 2 : 3, the number of parts in which the line is divided is 5.
Reason (R): To divide a line segment in the ratio p : q, we divide it into (p + q) parts.
Answer : A
Case Study Based Questions
I. The management of a school decided to arouse interest of their students in Mathematics. So they want to construct some geometrical shapes in one corner of the school premises. They showed a rough sketch of a right triangular structure on a plane sheet of paper with sides AB = 6 m, BC = 8 m and ∠B = 90°. The diagram shows a perpendicular from the vertex B to the front side AC. They want to build a circular wall through B, C and D but they had certain problems in doing so.
So they called on some students of class X to solve this problem. They made some suggestions.
Question. To find centre of the circle, the students made some suggestions which are as follows:
(a) Draw perpendicular BD on AC
(b) Draw perpendicular bisectors of BC and CD.
(c) The intersecting point of perpendiculars of BC and CD are the centre of the circle.
(d) All of the above
Answer : D
Question. Referring to the above, what will be the length of AD?
(a) 3.6 m
(b) 3.8 m
(c) 4.8 m
(d) 5.6 m
Answer : A
Question. Referring to the above, what is the length of perpendicular drawn on side AC from vertex B?
(a) 2.6 m
(b) 3.0 m
(c) 4.8 m
(d) 4.0 m
Answer : C
Question. Referring to the above, the length of tangent AE is
(a) 10 m
(b) 8 m
(c) 12 m
(d) 6 m
Answer : D
Question. Referring to the above, sum of angles ∠BAE and ∠BOE is
(a) 120°
(b) 180°
(c) 90°
(d) 60°
Answer : B
II. The construction of a road is in progress. A road already exists through a forest that goes over a circular lake. The engineer wants to build another road through the forest that connects this road, but does not go through the lake.
As it turns out, the road the engineer will be building and the road it will connect to both represent characteristics of a circle that have their own name. The road/bridge that already exists is called a secant of the circular lake, and the road the engineer is going to build is called the tangent of the circular lake.
Question. Refer to the above, if PT = 12 km and PA = 9 km, then the length of existing bridge is
(a) 7 km
(b) 9 km
(c) 12 km
(d) 16 km
Answer : A
Question. Refer to the above if the length of existing bridge is 5 km and the length of the existing road outside the lake is 4 km, then the length of the road under construction is
(a) 4 km
(b) 6 km
(c) 10 km
(d) 14 km
Answer : B
Question. Refer to the question (2) if the road under construction, PT is 6 km and it is inclined at an angle of 30° to the line joining the centre, the radius of the lake is
(a) 3√3 km
(b) 4√3 km
(c) 2√3 km
(d) 5√3 km
Answer : C
Question. Refer to the question (3) above, the circumference of the lake is
(a) 2√3 π km
(b) 3√3 π km
(c) 4√3 π km
(d) 5√3 π km
Answer : C
Question. Refer to the question (3) above, the area of the lake is
(a) 12π km2
(b) 16π km2
(c) 18π km2
(d) 9π km2
Answer : A
Question. Construct a triangle similar to a given ∆ABC, where AB = 4cm , BC = 6 cm and ∟ABC = 600 , such that each of its sides is 5/7 th of the corresponding sides of the ∆ABC.
Value based Question:
i. What qualities of Gandhiji would you like to construct within you.
Key Points:
* Simplicity
* Truthfulness
* Non-violence
Question. Draw a line segment of length 8cm divided it in the ratio 3:4
Value based Question:
Dividing Joint families into nuclear families is good or bad.
Key Points:
* Unity
* Adjustability
* Equality
Question. Draw a circle of radius 5cm. Draw tangents from end points of its diameter. What do you observe?
Value based question:
If each tangent represents the quality of a human being, find out the qualities that should be adopted for a better human being.
Key Points:
* Kindness, generosity
* zealous, nobleness
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CBSE Class 10 Mathematics Chapter 11 Constructions VBQs
We hope students liked the above VBQs for Chapter 11 Constructions designed as per the latest syllabus for Class 10 Mathematics released by CBSE. Students of Class 10 should download the Value Based Questions and Answers in Pdf format and practice the questions and solutions given in above Class 10 Mathematics VBQs Questions on daily basis. All latest VBQs with answers have been developed for Mathematics by referring to the most important and regularly asked topics which the students should learn and practice to get better score in school tests and examinations. Studiestoday is the best portal for Class 10 students to get all latest study material free of cost.
VBQs for Mathematics CBSE Class 10 Chapter 11 Constructions
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Chapter 11 Constructions VBQs Mathematics CBSE Class 10
All VBQs given above for Class 10 Mathematics have been made as per the latest syllabus and books issued for the current academic year. The students of Class 10 can refer to the answers which have been also provided by our teachers for all VBQs of Mathematics so that you are able to solve the questions and then compare your answers with the solutions provided by us. We have also provided lot of MCQ questions for Class 10 Mathematics so that you can solve questions relating to all topics given in each chapter. All study material for Class 10 Mathematics students have been given on studiestoday.
Chapter 11 Constructions CBSE Class 10 VBQs Mathematics
Regular VBQs practice helps to gain more practice in solving questions to obtain a more comprehensive understanding of Chapter 11 Constructions concepts. VBQs play an important role in developing understanding of Chapter 11 Constructions in CBSE Class 10. Students can download and save or print all the VBQs, printable assignments, practice sheets of the above chapter in Class 10 Mathematics in Pdf format from studiestoday. You can print or read them online on your computer or mobile or any other device. After solving these you should also refer to Class 10 Mathematics MCQ Test for the same chapter
CBSE VBQs Mathematics Class 10 Chapter 11 Constructions
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